What is the Least Common Multiple of 56960 and 56971?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56960 and 56971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56960 and 56971, than apply into the LCM equation.

GCF(56960,56971) = 1
LCM(56960,56971) = ( 56960 × 56971) / 1
LCM(56960,56971) = 3245068160 / 1
LCM(56960,56971) = 3245068160

Least Common Multiple (LCM) of 56960 and 56971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56960 and 56971. First we will calculate the prime factors of 56960 and 56971.

Prime Factorization of 56960

Prime Factorization of 56971

Now multiplying the highest exponent prime factors to calculate the LCM of 56960 and 56971.

LCM(56960,56971) = 2⁷ × 5¹ × 89¹ × 23¹ × 2477¹
LCM(56960,56971) = 3245068160